Classificação das superfícies de revolução tipo Delaunay completas
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Data
2008-05-30
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Universidade Federal de Goiás
Resumo
In this dissertation we have studied the articles The Surfaces of Delaunay, by James Eells, and Classi¯cation des Surfaces de Type Delaunay, by Ricardo Sa Earp and Eric Toubiana.
Based on the ¯rst work we have classi¯ed the surfaces of revolution of constant mean curvature known as surfaces of Delaunay. By using the second one we have looked at
special surfaces of Weingarten, whose mean and gaussian curvatures satis¯es the relation H = f(H2 ¡ K); where f is an elliptic function of class C1. We have classi¯ed the complete surfaces of revolution, that satis¯es the Weingarten relation. They are known as surfaces of Delaunay Type
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SOUZA, Luiz Gustavo Alves de. classification of surfaces of revolution type complete Delaunay. 2008. 75 f. Dissertação (Mestrado em Ciências Exatas e da Terra) - Universidade Federal de Goiás, Goiânia, 2008.